Reanalysis of exclusive charmonium production at the B factories
Abstract
In this paper, we present a comprehensive analysis of the next-to-next-to-leading-order (NNLO) QCD corrections to the exclusive processes e+e−→ J/ψ+ηc, e+e−→ J/ψ+χcJ, e+e−→ ηc+γ, and e+e−→ χcJ+γ (J=0,1,2) at the B factories, comparing perturbative expansions truncated at the amplitude level and squared-amplitude level. Our results show that the amplitude-level prescription improves the perturbative convergence, with the NNLO/LO ratios lying closer to the corresponding NLO/LO ratios than those in the squared-amplitude-level prescription. This improvement is particularly pronounced for e+e−→χc2+γ, where the NNLO prediction is about 27\% of the LO result in the amplitude-level prescription, compared with only 12\% in the squared-amplitude-level prescription. The amplitude-level prescription also reduces the residual renormalization scale dependence, particularly for the P-wave channels. Finally, the NNLO predictions are generally in good agreement with the available Belle and BaBar measurements and have central values closer to the data than those obtained with the squared-amplitude-level prescription. For channels with only upper limits, the predictions from both prescriptions are consistent with the experimental constraints, except for e+e−→ηc+γ, where both NNLO predictions remain above the current upper limit.
Related
- Paired charmonium and bottomonium production in rare exclusive decays of Z boson
- Exclusive production of doubly charmed baryon pair at B Factories
- Exclusive dimuon production and coherent charmonium photoproduction at forward rapidity in ultra-peripheral Pb–Pb collisions at √(sNN)=5.36 TeV
- Clarifying the puzzling mass shift of the ψ(4160) via a reanalysis of R-value data with unquenched charmonium spectroscopy
- Charmonium production at SPS and FAIR energies
BibTeX
@misc{huang2026reanalysis,
title = {{Reanalysis of exclusive charmonium production at the $B$ factories}},
author = {Xu-Dong Huang and Jian-Xiong Wang},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.00637},
eprint = {2609.00637},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.00637},
}
RIS
TY - UNPB
TI - Reanalysis of exclusive charmonium production at the B factories
AU - Xu-Dong Huang
AU - Jian-Xiong Wang
PY - 2026
DA - 2026/09/01
PB - arXiv
DO - 10.48550/arxiv.2609.00637
UR - https://arxiv.org/abs/2609.00637
AB - In this paper, we present a comprehensive analysis of the next-to-next-to-leading-order (NNLO) QCD corrections to the exclusive processes e^+e^−→ J/ψ+η_c, e^+e^−→ J/ψ+χ_cJ, e^+e^−→ η_c+γ, and e^+e^−→ χ_cJ+γ (J=0,1,2) at the B factories, comparing perturbative expansions truncated at the amplitude level and squared-amplitude level. Our results show that the amplitude-level prescription improves the perturbative convergence, with the NNLO/LO ratios lying closer to the corresponding NLO/LO ratios than those in the squared-amplitude-level prescription. This improvement is particularly pronounced for e^+e^−→χ_c2+γ, where the NNLO prediction is about 27\% of the LO result in the amplitude-level prescription, compared with only 12\% in the squared-amplitude-level prescription. The amplitude-level prescription also reduces the residual renormalization scale dependence, particularly for the P-wave channels. Finally, the NNLO predictions are generally in good agreement with the available Belle and BaBar measurements and have central values closer to the data than those obtained with the squared-amplitude-level prescription. For channels with only upper limits, the predictions from both prescriptions are consistent with the experimental constraints, except for e^+e^−→η_c+γ, where both NNLO predictions remain above the current upper limit.
ER -